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Simplifying 3(x + 1) + -8 = 14 + -2(3x + 4) Reorder the terms: 3(1 + x) + -8 = 14 + -2(3x + 4) (1 * 3 + x * 3) + -8 = 14 + -2(3x + 4) (3 + 3x) + -8 = 14 + -2(3x + 4) Reorder the terms: 3 + -8 + 3x = 14 + -2(3x + 4) Combine like terms: 3 + -8 = -5 -5 + 3x = 14 + -2(3x + 4) Reorder the terms: -5 + 3x = 14 + -2(4 + 3x) -5 + 3x = 14 + (4 * -2 + 3x * -2) -5 + 3x = 14 + (-8 + -6x) Combine like terms: 14 + -8 = 6 -5 + 3x = 6 + -6x Solving -5 + 3x = 6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -5 + 3x + 6x = 6 + -6x + 6x Combine like terms: 3x + 6x = 9x -5 + 9x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 9x = 6 + 0 -5 + 9x = 6 Add '5' to each side of the equation. -5 + 5 + 9x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = 6 + 5 9x = 6 + 5 Combine like terms: 6 + 5 = 11 9x = 11 Divide each side by '9'. x = 1.222222222 Simplifying x = 1.222222222
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